一类G^2连续的CC-Bézier保凸插值曲线

G^2 Continuous C-Bézier Curves with Shape Preserving Interpolation

本文给出了一种G2 连续的C Béｚｉｅｒ保凸插值曲线的算法,在每相邻型值点之间增加两个结点构造一段C Béｚｉｅｒ参数曲线,增加的结点仅通过几何方法即可实现,所构造的曲线是保凸和G2连续的并且可通过控制参数{t _i}、{λ_i}及α进行局部修改。

This paper present convexity preserving interpolation algorithm for C Bézier curves which is G 2 continuous, The control points of the C Bézier to be constructed can be computed simply by the given data set {P i=(x i,y i)} only using the geometric method. The local modification to the C Bézier curve can be completed by adjusting the corresponding control parameters {t i}or.